131728119018813408

Names of 131728119018813408

• Cardinal: 131728119018813408 can be written as One hundred thirty-one quadrillion, seven hundred twenty-eight trillion, one hundred nineteen billion, eighteen million, eight hundred thirteen thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.31728119018813408 × 10¹⁷

Factors of 131728119018813408

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 6133082

Divisors of 131728119018813408

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 127 156 168 182 208 224 254 273 312 336 364 381 416 508 546 624 672 728 762 889 1016 1092 1248 1456 1524 1651 1778 2032 2184 2667 2912 3048 3302 3556 4064 4368 4953 5334 6096 6604 7112 8736 9906 10668 11557 12192 13208 14224 19421 19812 21336 23114 26416 28448 34671 38842 39624 42672 46228 52832 58263 69342 77684 79248 85344 92456 116526 135947 138684 155368 158496 184912 233052 252473 271894 277368 310736 369824 407841 466104 504946 543788 554736 621472 757419 815682 932208 1009892 1087576 1109472 1514838 1631364 1767311 1864416 2019784 2175152 2466467 3029676 3262728 3534622 4039568 4350304 4932934 5301933 6059352 6113509 6525456 7069244 7399401 8079136 9865868 10603866 12118704 12227018 13050912 14138488 14798802 17265269 18340527 19731736 21207732 24237408 24454036 28276976 29597604 32064071 34530538 36681054 39463472 42415464 42794563 48908072 51795807 56553952 59195208 64128142 69061076 73362108 78926944 79475617 84830928 85589126 96192213 97816144 103591614 118390416 128256284 128383689 138122152 146724216 158951234 169661856 171178252 192384426 195632288 207183228 224448497 236780832 238426851 256512568 256767378 276244304 293448432 317902468 342356504 384768852 414366456 448896994 476853702 513025136 513534756 552488608 556329319 586896864 635804936 673345491 684713008 769537704 776415643 828732912 897793988 953707404 1026050272 1027069512 1112658638 1271609872 1346690982 1369426016 1539075408 1552831286 1657465824 1668987957 1795587976 1907414808 2054139024 2225317276 2329246929 2543219744 2693381964 3078150816 3105662572 3337975914 3591175952 3814829616 4108278048 4450634552 4658493858 5386763928 5434909501 6211325144 6675951828 7182351904 7629659232 8901269104 9316987716 10093403359 10773527856 10869819002 12422650288 13351903656 16304728503 17802538208 18633975432 20186806718 21547055712 21739638004 24845300576 26703807312 30280210077 32609457006 37267950864 40373613436 43479276008 53407614624 60560420154 65218914012 70653823513 74535901728 80747226872 86958552016 118730458289 121120840308 130437828024 141307647026 161494453744 173917104032 211961470539 237460916578 242241680616 260875656048 282615294052 322988907488 356191374867 423922941078 474921833156 484483361232 521751312096 565230588104 712382749734 831113208023 847845882156 949843666312 968966722464 1130461176208 1424765499468 1543495957757 1662226416046 1695691764312 1899687332624 2260922352416 2493339624069 2849530998936 3086991915514 3324452832092 3391383528624 3799374665248 4630487873271 4986679248138 5699061997872 6173983831028 6648905664184 6782767057248 9260975746542 9973358496276 10804471704299 11398123995744 12347967662056 13297811328368 15078768202703 18521951493084 19946716992552 21608943408598 24695935324112 26595622656736 30157536405406 32413415112897 37043902986168 39893433985104 43217886817196 45236304608109 49391870648224 60315072810812 64826830225794 74087805972336 79786867970208 86435773634392 90472609216218 105551377418921 120630145621624 129653660451588 148175611944672 172871547268784 180945218432436 196023986635139 211102754837842 241260291243248 259307320903176 316654132256763 345743094537568 361890436864872 392047973270278 422205509675684 482520582486496 518614641806352 588071959905417 633308264513526 723780873729744 784095946540556 844411019351368 1037229283612704 1176143919810834 1266616529027052 1372167906445973 1447561747459488 1568191893081112 1688822038702736 2352287839621668 2533233058054104 2744335812891946 3136383786162224 3377644077405472 4116503719337919 4704575679243336 5066466116108208 5488671625783892 6272767572324448 8233007438675838 9409151358486672 10132932232216416 10977343251567784 16466014877351676 18818302716973344 21954686503135568 32932029754703352 43909373006271136 65864059509406704 131728119018813408
• Sum of all divisors σ(n): 428956358475939840
• Sum of proper divisors (its aliquot sum) s(n): 297228239457126432
• 131728119018813408 is an abundant number, because the sum of its proper divisors (297228239457126432) is greater than itself. Its abundance is 165500120438313024

Bases of 131728119018813408

• Binary: 111010011111111100000011010111101000010111111011111100000₂
• Hexadecimal: 0x1D3FE06BD0BF7E0
• Base-36: 1011PYGGK25C

Squares and roots of 131728119018813408

• 131728119018813408 squared (131728119018813408²) is 17352297340234670695993048320574464
• 131728119018813408 cubed (131728119018813408³) is 2285785489284272038966734767894744325371898185613312
• The square root of 131728119018813408 is 362943685.7403823301
• The cube root of 131728119018813408 is 508814.5206742991

Scales and comparisons

• 131,728,119,018,813,408 seconds is equal to 4,188,546,722 years, 50 weeks, 4 days, 4 hours, 36 minutes, 48 seconds.
• To count from 1 to 131,728,119,018,813,408 would take you about twelve billion, five hundred sixty-five million, six hundred forty thousand, one hundred sixty-eight years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 131728119018813408 cubic inches would be around 42401.2 feet tall.

Recreational maths with 131728119018813408

• 131728119018813408 backwards is 804318810911827131
• The number of decimal digits it has is: 18
• The sum of 131728119018813408's digits is 66
• More coming soon!